SOLUTION: Five of the interior angles of a hexagon are 100 degrees, 110 degrees, 125 degrees, 134 degrees, and 140 degrees. Calculate the size of the other interior angle.

Algebra ->  Polygons -> SOLUTION: Five of the interior angles of a hexagon are 100 degrees, 110 degrees, 125 degrees, 134 degrees, and 140 degrees. Calculate the size of the other interior angle.      Log On


   

Question 1041695: Five of the interior angles of a hexagon are 100 degrees, 110 degrees, 125 degrees, 134 degrees, and 140 degrees. Calculate the size of the other interior angle.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Missed angle of an n-sided polygon is equal to (n-2)*180 minus the sum of known (n-1) interior angles.
In you case it is

(6-2)*180° - (100° + 110° + 115° + 134° + 140°).

For details, see the lessons
    - Solved problems on angles of a polygon
    - Solved problems on missed angle of a polygon
    - Solved problems on angles of a regular polygon
    - OVERVIEW of solved problems on angles of triangles, parallelograms, quadrilaterals and polygons
in this site.